Pregunta
4. \( 5 b-2+2 b=19 \)
Ask by Norris Vega. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( b = 3 \)
Solución
To solve the equation:
\[ 5b - 2 + 2b = 19 \]
**Step 1: Combine like terms**
Combine the terms containing \( b \):
\[ 5b + 2b - 2 = 19 \]
\[ 7b - 2 = 19 \]
**Step 2: Isolate the term with \( b \)**
Add 2 to both sides of the equation to move the constant term to the right side:
\[ 7b - 2 + 2 = 19 + 2 \]
\[ 7b = 21 \]
**Step 3: Solve for \( b \)**
Divide both sides by 7 to isolate \( b \):
\[ \frac{7b}{7} = \frac{21}{7} \]
\[ b = 3 \]
**Solution:** \( b = 3 \)
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Bonus Knowledge
To solve the equation \( 5b - 2 + 2b = 19 \), start by combining like terms. This gives you \( 7b - 2 = 19 \). Next, add 2 to both sides, resulting in \( 7b = 21 \). Finally, divide by 7 to find \( b = 3 \). There you have it, b equals 3! What’s fun about solving equations like this is that they can be found in real-life situations, such as budgeting your expenses or calculating distances. For example, if you know the cost of items in your shopping cart (represented by your unknown), you can easily calculate how much you need to adjust your budget to meet your target spending limit!
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